ScalingStacks

Lemma 2.1 [02GA]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Lemma 2.1

There exists p′>1p^{\prime}>1 and a constant C=C⁡(π,‖F‖Lp​(X))>0C=C(\pi,\|F\|_{L^{p}(X)})>0 such that for all t∈]0,1]t\in]0,1]

∫Xftp′​ωtn≤C​V​o​lωt​(X).\int_{X}f_{t}^{p^{\prime}}\omega_{t}^{n}\leq C\,Vol_{\omega_{t}}(X).

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.